137482713 has 24 divisors (see below), whose sum is σ = 205170056. Its totient is φ = 88646400.

The previous prime is 137482703. The next prime is 137482721. The reversal of 137482713 is 317284731.

It can be written as a sum of positive squares in 4 ways, for example, as 14538969 + 122943744 = 3813^2 + 11088^2 .

It is not a de Polignac number, because 137482713 - 2¹³ = 137474521 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137482703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59133 + ... + 61413.

Almost surely, 2^137482713 is an apocalyptic number.

It is an amenable number.

137482713 is a deficient number, since it is larger than the sum of its proper divisors (67687343).

137482713 is a wasteful number, since it uses less digits than its factorization.

137482713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2502 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 137482713 is about 11725.3022562320. The cubic root of 137482713 is about 516.1184264867.

It can be divided in two parts, 13748 and 2713, that added together give a palindrome (16461).

The spelling of 137482713 in words is "one hundred thirty-seven million, four hundred eighty-two thousand, seven hundred thirteen".